--- a/src/stream/ngx_stream_upstream_least_conn_module.c
+++ b/src/stream/ngx_stream_upstream_least_conn_module.c
@@ -150,6 +150,10 @@ ngx_stream_upstream_get_least_conn_peer(
             continue;
         }
 
+        if (peer->max_conns && peer->conns >= peer->max_conns) {
+            continue;
+        }
+
         /*
          * select peer with least number of connections; if there are
          * multiple peers with the same number of connections, select
@@ -205,6 +209,10 @@ ngx_stream_upstream_get_least_conn_peer(
                 continue;
             }
 
+            if (peer->max_conns && peer->conns >= peer->max_conns) {
+                continue;
+            }
+
             peer->current_weight += peer->effective_weight;
             total += peer->effective_weight;
 
@@ -292,6 +300,7 @@ ngx_stream_upstream_least_conn(ngx_conf_
 
     uscf->flags = NGX_STREAM_UPSTREAM_CREATE
                   |NGX_STREAM_UPSTREAM_WEIGHT
+                  |NGX_STREAM_UPSTREAM_MAX_CONNS
                   |NGX_STREAM_UPSTREAM_MAX_FAILS
                   |NGX_STREAM_UPSTREAM_FAIL_TIMEOUT
                   |NGX_STREAM_UPSTREAM_DOWN